Characterization of the departure process from an ME/ME/1 queue

Kumaran, Jayesh; Mitchell, Kenneth; Van de Liefvoort, Appie

doi:10.1051/ro:2004018

Kumaran, Jayesh ; Mitchell, Kenneth ; Van de Liefvoort, Appie

RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 2, pp. 173-191.

Résumé

In this paper we propose a family of finite approximations for the departure process of an ME/ME/1 queue indexed by a parameter $k$ defined as the system size of the finite approximation. The approximations capture the interdeparture times from an ME/ME/1 queue exactly and preserve the lag correlations of inter-event times of the departures from an ME/ME/1 queue up to lag $(k - 1)$ .

MR Zbl

DOI : 10.1051/ro:2004018

@article{RO_2004__38_2_173_0,
     author = {Kumaran, Jayesh and Mitchell, Kenneth and Van de Liefvoort, Appie},
     title = {Characterization of the departure process from an {ME/ME/1} queue},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {173--191},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {2},
     year = {2004},
     doi = {10.1051/ro:2004018},
     mrnumber = {2081836},
     zbl = {1092.90015},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro:2004018/}
}

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Kumaran, Jayesh; Mitchell, Kenneth; Van de Liefvoort, Appie. Characterization of the departure process from an ME/ME/1 queue. RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 2, pp. 173-191. doi : 10.1051/ro:2004018. http://archive.numdam.org/articles/10.1051/ro:2004018/

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